{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6323443862710879\n",
      "0.7595129375951294\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 数据\n",
    "data = [[35.458333333333336, 16.104166666666668, 6.5625, 4.4375],[34.916666666666664, 27.6875, 9.6875, 6.395833333333333],[35.625, 34.916666666666664, 10.875, 7.416666666666667],[35.354166666666664, 40.541666666666664, 11.875, 7.895833333333333],[35.854166666666664, 44.625, 11.979166666666666, 7.979166666666667],[35.270833333333336, 46.979166666666664, 12.416666666666666, 8.3125],[35.0, 49.875, 12.6875, 8.604166666666666],[35.8125, 51.020833333333336, 13.020833333333334, 8.770833333333334],[35.208333333333336, 52.229166666666664, 12.958333333333334, 8.604166666666666],[35.3125, 52.770833333333336, 13.1875, 9.041666666666666],[35.0625, 53.145833333333336, 13.604166666666666, 9.208333333333334],[35.479166666666664, 53.833333333333336, 13.5, 9.104166666666666],[35.25, 54.104166666666664, 13.166666666666666, 9.083333333333334],[35.333333333333336, 54.4375, 13.520833333333334, 8.979166666666666],[35.875, 54.479166666666664, 13.291666666666666, 9.02127659574468],[35.791666666666664, 54.604166666666664, 13.708333333333334, 8.97872340425532],[36.166666666666664, 54.645833333333336, 13.458333333333334, 9.085106382978724],[35.479166666666664, 54.854166666666664, 13.4375, 9.145833333333334],[35.3125, 54.895833333333336, 13.9375, 9.1875],[35.8125, 54.75, 13.166666666666666, 8.645833333333334]]\n",
    "\n",
    "print((35.8125 - 13.166666666666666) / 35.8125)\n",
    "print((54.75 - 13.166666666666666) / 54.75)\n",
    "\n",
    "data = list(map(list, zip(*data)))\n",
    "sd_num = list(range(10, len(data[0]) * 10 + 10, 10))\n",
    "\n",
    "# 提取三个参数的均值列\n",
    "ras = [item[0] for item in data]\n",
    "sps = [item[1] for item in data]\n",
    "apsp = [item[2] for item in data]\n",
    "ilp = [item[3] for item in data]\n",
    "\n",
    "# 可视化\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(sd_num, data[0], label='RAS', marker='p')\n",
    "plt.plot(sd_num, data[1], label='SPS', marker='o')\n",
    "plt.plot(sd_num, data[2], label='RPSP-APSP', marker='s')\n",
    "plt.plot(sd_num, data[3], label='RPSP-ILP', marker='^')\n",
    "\n",
    "plt.xlabel('Number of QKD Request')\n",
    "plt.ylabel('Used Time Slots')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(\"var_sd_num.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "xs",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
